Question

question 18 of 25 what else would need to be congruent to show that △efg≅△jkl by sss? given:
eg≅jl
fg≅kl
a. ∠e≅∠j
b. ef≅jk
c. ef≅fg
d. ∠f≅∠k

Explanation:

Step1: Recall SSS congruence criterion

SSS (Side - Side - Side) congruence states that if three sides of one triangle are congruent to three sides of another triangle, the two triangles are congruent.

Step2: Analyze given congruent sides

We are given that $\overline{EG}\cong\overline{JL}$ and $\overline{FG}\cong\overline{KL}$. We need the third - pair of corresponding sides to be congruent.

Step3: Identify the missing congruent sides

The missing pair of corresponding sides for $\triangle EFG$ and $\triangle JKL$ is $\overline{EF}$ and $\overline{JK}$. So, $\overline{EF}\cong\overline{JK}$ is required for SSS congruence.

Answer:

B. $\overline{EF}\cong\overline{JK}$